Find the exact value of tan 15 degrees
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Root 3 by 2 is the approximate value of tan 15 degrees
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Let tan(15°) = tan(45°-30°)
We know that tan(A - B) = (tanA - tanB) /(1 + tan A tan B)
⇒tan(45°-30°) = (tan45°- tan30°)/(1+tan45°tan30°)
= {1- (1/√3)} / {1+(1/√3)}
∴ tan15° = (√3 - 1) / (√3 + 1)
We know that tan(A - B) = (tanA - tanB) /(1 + tan A tan B)
⇒tan(45°-30°) = (tan45°- tan30°)/(1+tan45°tan30°)
= {1- (1/√3)} / {1+(1/√3)}
∴ tan15° = (√3 - 1) / (√3 + 1)
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